Theorems · Theorem · general topology
genericPoints.component_surjective
∀ {α : Type u_1} [inst : TopologicalSpace α] [QuasiSober α], Function.Surjective genericPoints.component- Defined in
- Mathlib.Topology.Sober
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceQuasiSober
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement · cited by 7,166
- irreducibleComponentsstatement · cited by 35
- QuasiSoberstatement and proof · cited by 31
- genericPointsstatement · cited by 10
- genericPoints.componentstatement · cited by 7
- genericPoints.ofComponentproof · cited by 6
- genericPoints.component_ofComponentproof · cited by 2
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